A general controllability theorem
A map associated to the Lepagian forms on the calculus of variations in fibred manifolds
A metric approach to a class of doubly nonlinear evolution equations and applications
This paper deals with the analysis of a class of doubly nonlinear evolution equations in the framework of a general metric space. We propose for such equations a suitable metric formulation (which in fact extends the notion of Curve of Maximal Slopefor gradient flows in metric spaces, see [5]), and prove the existence of solutions for the related Cauchy problem by means of an approximation scheme by time discretization. Then, we apply our results to obtain the existence of solutions to abstract...
Basic Brane Mechanics
Blow-up and global existence for heat flows of harmonic maps.
BV solutions and viscosity approximations of rate-independent systems
In the nonconvex case, solutions of rate-independent systems may develop jumps as a function of time. To model such jumps, we adopt the philosophy that rate-independence should be considered as limit of systems with smaller and smaller viscosity. For the finite-dimensional case we study the vanishing-viscosity limit of doubly nonlinear equations given in terms of a differentiable energy functional and a dissipation potential that is a viscous regularization of a given rate-independent dissipation...
BV solutions and viscosity approximations of rate-independent systems∗
In the nonconvex case, solutions of rate-independent systems may develop jumps as a function of time. To model such jumps, we adopt the philosophy that rate-independence should be considered as limit of systems with smaller and smaller viscosity. For the finite-dimensional case we study the vanishing-viscosity limit of doubly nonlinear equations given in terms of a differentiable energy functional and a dissipation potential that is a viscous regularization...
Critical points of asymptotically quadratic functions
Existence results for critical points of asymptotically quadratic functions defined on Hilbert spaces are studied by using Morse-Conley index and pseudomonotone mappings. Applications to differential equations are given.
Existence and multiplicity results for homoclinic orbits of Hamiltonian systems.
Geometry of Lagrangean structures. II
Global minimizers for axisymmetric multiphase membranes
We consider a Canham − Helfrich − type variational problem defined over closed surfaces enclosing a fixed volume and having fixed surface area. The problem models the shape of multiphase biomembranes. It consists of minimizing the sum of the Canham − Helfrich energy, in which the bending rigidities and spontaneous curvatures are now phase-dependent, and a line tension penalization for the phase interfaces. By restricting attention to axisymmetric surfaces and phase distributions, we extend our previous...
Hausdorff measures of the set of critical values of functions of the class
Helmholtz conditions and their generalizations.
Higher order Grassmann fibrations and the calculus of variations.
Horizontal forms on jet bundles.
Instantons
Introduction à la résurgence quantique
Landesman-Lazer type condition and nonlinearities with linear growth
Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case)
Multibump solutions for an almost periodically forced singular Hamiltonian system.